248157009 has 27 divisors (see below), whose sum is σ = 368770363. Its totient is φ = 160806624.

The previous prime is 248156983. The next prime is 248157017. The reversal of 248157009 is 900751842.

248157009 = 1³ + 2³ + ... + 177³.

The square root of 248157009 is 15753.

It is a perfect power (a square), and thus also a powerful number.

248157009 is a `hidden beast` number, since 2 + 4 + 81 + 570 + 0 + 9 = 666.

248157009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 47651409 + 200505600 = 6903^2 + 14160^2 .

It is not a de Polignac number, because 248157009 - 2²¹ = 246059857 is a prime.

It is a super-2 number, since 2×248157009² = 123163802231652162, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (248157209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2788237 + ... + 2788325.

Almost surely, 2^248157009 is an apocalyptic number.

248157009 is the 15753-rd square number.

248157009 is the 7877-th centered octagonal number.

It is an amenable number.

248157009 is a deficient number, since it is larger than the sum of its proper divisors (120613354).

248157009 is an frugal number, since it uses more digits than its factorization.

248157009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The cubic root of 248157009 is about 628.4086898827.

Multiplying 248157009 by its sum of digits (36), we get a square (8933652324 = 94518²).

The spelling of 248157009 in words is "two hundred forty-eight million, one hundred fifty-seven thousand, nine".