2512154512152 has 384 divisors, whose sum is σ = 7544002677120. Its totient is φ = 752716800000.

The previous prime is 2512154512097. The next prime is 2512154512159.

2512154512152 is a `hidden beast` number, since 2 + 5 + 121 + 5 + 4 + 512 + 15 + 2 = 666.

2512154512152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2512154512152² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2512154512159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 253722402 + ... + 253732302.

It is an arithmetic number, because the mean of its divisors is an integer number (19645840305).

Almost surely, 2^{2512154512152} 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 2512154512152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3772001338560).

2512154512152 is an abundant number, since it is smaller than the sum of its proper divisors (5031848164968).

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

2512154512152 is a wasteful number, since it uses less digits than its factorization.

2512154512152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10115 (or 10108 counting only the distinct ones).

The product of its digits is 40000, while the sum is 36.

The spelling of 2512154512152 in words is "two trillion, five hundred twelve billion, one hundred fifty-four million, five hundred twelve thousand, one hundred fifty-two".