2525135132520 has 768 divisors, whose sum is σ = 11598738278400. Its totient is φ = 458848696320.

The previous prime is 2525135132503. The next prime is 2525135132521. The reversal of 2525135132520 is 252315315252.

2525135132520 is a `hidden beast` number, since 2 + 5 + 2 + 51 + 3 + 51 + 32 + 520 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2525135132521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6662439 + ... + 7031241.

It is an arithmetic number, because the mean of its divisors is an integer number (15102523800).

Almost surely, 2^{2525135132520} is an apocalyptic number.

2525135132520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2525135132520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5799369139200).

2525135132520 is an abundant number, since it is smaller than the sum of its proper divisors (9073603145880).

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

2525135132520 is a wasteful number, since it uses less digits than its factorization.

2525135132520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368870 (or 368863 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 2525135132520 in words is "two trillion, five hundred twenty-five billion, one hundred thirty-five million, one hundred thirty-two thousand, five hundred twenty".