1313517590 has 128 divisors (see below), whose sum is σ = 3104179200. Its totient is φ = 388200960.

The previous prime is 1313517581. The next prime is 1313517599. The reversal of 1313517590 is 957153131.

It is an interprime number because it is at equal distance from previous prime (1313517581) and next prime (1313517599).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 1313517590.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1313517599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1316972 + ... + 1317968.

It is an arithmetic number, because the mean of its divisors is an integer number (24251400).

Almost surely, 2^1313517590 is an apocalyptic number.

1313517590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1313517590 is an abundant number, since it is smaller than the sum of its proper divisors (1790661610).

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

1313517590 is a wasteful number, since it uses less digits than its factorization.

1313517590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110.

The product of its (nonzero) digits is 14175, while the sum is 35.

The square root of 1313517590 is about 36242.4832206625. The cubic root of 1313517590 is about 1095.1626677431.

The spelling of 1313517590 in words is "one billion, three hundred thirteen million, five hundred seventeen thousand, five hundred ninety".