2571087557052 has 480 divisors, whose sum is σ = 8302618705920. Its totient is φ = 677645274240.

The previous prime is 2571087557047. The next prime is 2571087557057. The reversal of 2571087557052 is 2507557801752.

It is a happy number.

2571087557052 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 0 + 87 + 557 + 0 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2571087557047) and next prime (2571087557057).

It is a super-2 number, since 2×2571087557052² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2571087557052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2571087557057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 496442199 + ... + 496447377.

It is an arithmetic number, because the mean of its divisors is an integer number (17297122304).

Almost surely, 2^{2571087557052} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2571087557052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4151309352960).

2571087557052 is an abundant number, since it is smaller than the sum of its proper divisors (5731531148868).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2571087557052 is a wasteful number, since it uses less digits than its factorization.

2571087557052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5563 (or 5552 counting only the distinct ones).

The product of its (nonzero) digits is 6860000, while the sum is 54.

The spelling of 2571087557052 in words is "two trillion, five hundred seventy-one billion, eighty-seven million, five hundred fifty-seven thousand, fifty-two".