13542530256 has 60 divisors (see below), whose sum is σ = 38824689540. Its totient is φ = 4404072960.

The previous prime is 13542530237. The next prime is 13542530257. The reversal of 13542530256 is 65203524531.

13542530256 is a `hidden beast` number, since 1 + 35 + 42 + 530 + 2 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7222280256 + 6320250000 = 84984^2 + 79500^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 13542530256.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13542530257) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1140991 + ... + 1152798.

It is an arithmetic number, because the mean of its divisors is an integer number (647078159).

Almost surely, 2^13542530256 is an apocalyptic number.

13542530256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13542530256 is an abundant number, since it is smaller than the sum of its proper divisors (25282159284).

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

13542530256 is a wasteful number, since it uses less digits than its factorization.

13542530256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2293844 (or 2293835 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 13542530256 in words is "thirteen billion, five hundred forty-two million, five hundred thirty thousand, two hundred fifty-six".