2513773152 has 72 divisors (see below), whose sum is σ = 7798419720. Its totient is φ = 761748480.

The previous prime is 2513773147. The next prime is 2513773219.

It is a happy number.

2513773152 is a `hidden beast` number, since 251 + 377 + 31 + 5 + 2 = 666.

2513773152 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 393577 + ... + 399912.

It is an arithmetic number, because the mean of its divisors is an integer number (108311385).

Almost surely, 2^2513773152 is an apocalyptic number.

2513773152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2513773152 is an abundant number, since it is smaller than the sum of its proper divisors (5284646568).

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

2513773152 is a wasteful number, since it uses less digits than its factorization.

2513773152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793516 (or 793505 counting only the distinct ones).

The product of its digits is 44100, while the sum is 36.

The square root of 2513773152 is about 50137.5423410442. The cubic root of 2513773152 is about 1359.6966509126.

It can be divided in two parts, 25137 and 73152, that added together give a palindrome (98289).

The spelling of 2513773152 in words is "two billion, five hundred thirteen million, seven hundred seventy-three thousand, one hundred fifty-two".