2513325696 has 128 divisors (see below), whose sum is σ = 8078693760. Its totient is φ = 675840000.

The previous prime is 2513325653. The next prime is 2513325697. The reversal of 2513325696 is 6965233152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2513325697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18196 + ... + 73196.

It is an arithmetic number, because the mean of its divisors is an integer number (63114795).

Almost surely, 2^2513325696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2513325696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4039346880).

2513325696 is an abundant number, since it is smaller than the sum of its proper divisors (5565368064).

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

2513325696 is a wasteful number, since it uses less digits than its factorization.

2513325696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55042 (or 55030 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 2513325696 is about 50133.0798575152. The cubic root of 2513325696 is about 1359.6159700011.

The spelling of 2513325696 in words is "two billion, five hundred thirteen million, three hundred twenty-five thousand, six hundred ninety-six".