2531062601352 has 48 divisors (see below), whose sum is σ = 6855498877500. Its totient is φ = 843621359616.

The previous prime is 2531062601267. The next prime is 2531062601383.

2531062601352 is a `hidden beast` number, since 2 + 5 + 3 + 10 + 6 + 2 + 601 + 35 + 2 = 666.

2531062601352 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 2251638298116 + 279424303236 = 1500546^2 + 528606^2 .

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 449977 + ... + 2294472.

Almost surely, 2^{2531062601352} is an apocalyptic number.

It is an amenable number.

2531062601352 is an abundant number, since it is smaller than the sum of its proper divisors (4324436276148).

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

2531062601352 is a wasteful number, since it uses less digits than its factorization.

2531062601352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2757270 (or 2757263 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2531062601352 in words is "two trillion, five hundred thirty-one billion, sixty-two million, six hundred one thousand, three hundred fifty-two".