47772513 has 12 divisors (see below), whose sum is σ = 70870228. Its totient is φ = 30987360.

The previous prime is 47772497. The next prime is 47772547. The reversal of 47772513 is 31527774.

47772513 is a `hidden beast` number, since 4 + 77 + 72 + 513 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 41177889 + 6594624 = 6417^2 + 2568^2 .

It is not a de Polignac number, because 47772513 - 2⁴ = 47772497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (47772553) 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, 71398 + ... + 72063.

Almost surely, 2^47772513 is an apocalyptic number.

It is an amenable number.

47772513 is a deficient number, since it is larger than the sum of its proper divisors (23097715).

47772513 is a wasteful number, since it uses less digits than its factorization.

47772513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143504 (or 143501 counting only the distinct ones).

The product of its digits is 41160, while the sum is 36.

The square root of 47772513 is about 6911.7662720899. The cubic root of 47772513 is about 362.8490823593.

The spelling of 47772513 in words is "forty-seven million, seven hundred seventy-two thousand, five hundred thirteen".