507978153 has 12 divisors (see below), whose sum is σ = 734451588. Its totient is φ = 338326560.

The previous prime is 507978131. The next prime is 507978157. The reversal of 507978153 is 351879705.

507978153 is a `hidden beast` number, since 507 + 97 + 8 + 1 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 344956329 + 163021824 = 18573^2 + 12768^2 .

It is not a de Polignac number, because 507978153 - 2⁶ = 507978089 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 507978099 and 507978108.

It is not an unprimeable number, because it can be changed into a prime (507978157) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17050 + ... + 36147.

It is an arithmetic number, because the mean of its divisors is an integer number (61204299).

Almost surely, 2^507978153 is an apocalyptic number.

It is an amenable number.

507978153 is a deficient number, since it is larger than the sum of its proper divisors (226473435).

507978153 is a wasteful number, since it uses less digits than its factorization.

507978153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54264 (or 54261 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 45.

The square root of 507978153 is about 22538.3706820169. The cubic root of 507978153 is about 797.8997791865.

The spelling of 507978153 in words is "five hundred seven million, nine hundred seventy-eight thousand, one hundred fifty-three".