2513497668 has 96 divisors (see below), whose sum is σ = 6831070848. Its totient is φ = 716784640.

The previous prime is 2513497627. The next prime is 2513497681. The reversal of 2513497668 is 8667943152.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 2513497668.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 266896 + ... + 276152.

It is an arithmetic number, because the mean of its divisors is an integer number (71156988).

Almost surely, 2^2513497668 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 2513497668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3415535424).

2513497668 is an abundant number, since it is smaller than the sum of its proper divisors (4317573180).

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

2513497668 is a wasteful number, since it uses less digits than its factorization.

2513497668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9314 (or 9290 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 51.

The square root of 2513497668 is about 50134.7949831252. The cubic root of 2513497668 is about 1359.6469794514.

The spelling of 2513497668 in words is "two billion, five hundred thirteen million, four hundred ninety-seven thousand, six hundred sixty-eight".