506961153 has 8 divisors (see below), whose sum is σ = 751053600. Its totient is φ = 337974084.

The previous prime is 506961149. The next prime is 506961157. The reversal of 506961153 is 351169605.

506961153 is a `hidden beast` number, since 506 + 96 + 11 + 53 = 666.

It is an interprime number because it is at equal distance from previous prime (506961149) and next prime (506961157).

It is not a de Polignac number, because 506961153 - 2² = 506961149 is a prime.

It is a super-2 number, since 2×506961153² = 514019221302178818, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (506961157) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9388143 + ... + 9388196.

It is an arithmetic number, because the mean of its divisors is an integer number (93881700).

Almost surely, 2^506961153 is an apocalyptic number.

It is an amenable number.

506961153 is a deficient number, since it is larger than the sum of its proper divisors (244092447).

506961153 is a wasteful number, since it uses less digits than its factorization.

506961153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18776348 (or 18776342 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 506961153 is about 22515.7978539513. The cubic root of 506961153 is about 797.3669437974.

The spelling of 506961153 in words is "five hundred six million, nine hundred sixty-one thousand, one hundred fifty-three".