531520407 has 32 divisors (see below), whose sum is σ = 865359360. Its totient is φ = 319757760.

The previous prime is 531520397. The next prime is 531520417. The reversal of 531520407 is 704025135.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (531520397) and next prime (531520417).

It is not a de Polignac number, because 531520407 - 2⁷ = 531520279 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (531520417) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34158 + ... + 47220.

It is an arithmetic number, because the mean of its divisors is an integer number (27042480).

Almost surely, 2^531520407 is an apocalyptic number.

531520407 is a deficient number, since it is larger than the sum of its proper divisors (333838953).

531520407 is a wasteful number, since it uses less digits than its factorization.

531520407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13220 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 531520407 is about 23054.7263484085. The cubic root of 531520407 is about 810.0403409264.

The spelling of 531520407 in words is "five hundred thirty-one million, five hundred twenty thousand, four hundred seven".