2513526253152 has 48 divisors (see below), whose sum is σ = 6602174853120. Its totient is φ = 837312758912.

The previous prime is 2513526253141. The next prime is 2513526253163.

2513526253152 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2513526253141) and next prime (2513526253163).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8117952 + ... + 8421887.

It is an arithmetic number, because the mean of its divisors is an integer number (137545309440).

Almost surely, 2^{2513526253152} is an apocalyptic number.

It is an amenable number.

2513526253152 is an abundant number, since it is smaller than the sum of its proper divisors (4088648599968).

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

2513526253152 is a wasteful number, since it uses less digits than its factorization.

2513526253152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16541435 (or 16541427 counting only the distinct ones).

The product of its digits is 540000, while the sum is 42.

The spelling of 2513526253152 in words is "two trillion, five hundred thirteen billion, five hundred twenty-six million, two hundred fifty-three thousand, one hundred fifty-two".