2513132760 has 64 divisors (see below), whose sum is σ = 7544897280. Its totient is φ = 669680000.

The previous prime is 2513132749. The next prime is 2513132771. The reversal of 2513132760 is 672313152.

It is an interprime number because it is at equal distance from previous prime (2513132749) and next prime (2513132771).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175885 + ... + 189635.

It is an arithmetic number, because the mean of its divisors is an integer number (117889020).

Almost surely, 2^2513132760 is an apocalyptic number.

2513132760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2513132760 is an abundant number, since it is smaller than the sum of its proper divisors (5031764520).

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

2513132760 is a wasteful number, since it uses less digits than its factorization.

2513132760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15288 (or 15284 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 2513132760 is about 50131.1555821328. The cubic root of 2513132760 is about 1359.5811787045.

The spelling of 2513132760 in words is "two billion, five hundred thirteen million, one hundred thirty-two thousand, seven hundred sixty".