1653261057 has 32 divisors (see below), whose sum is σ = 2838620160. Its totient is φ = 931407120.

The previous prime is 1653261019. The next prime is 1653261061. The reversal of 1653261057 is 7501623561.

1653261057 is a `hidden beast` number, since 1 + 6 + 5 + 32 + 610 + 5 + 7 = 666.

It is not a de Polignac number, because 1653261057 - 2⁶ = 1653260993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1653261157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48183 + ... + 75020.

It is an arithmetic number, because the mean of its divisors is an integer number (88706880).

Almost surely, 2^1653261057 is an apocalyptic number.

It is an amenable number.

1653261057 is a deficient number, since it is larger than the sum of its proper divisors (1185359103).

1653261057 is a wasteful number, since it uses less digits than its factorization.

1653261057 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123290 (or 123284 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 1653261057 is about 40660.3130460158. The cubic root of 1653261057 is about 1182.4437188475.

The spelling of 1653261057 in words is "one billion, six hundred fifty-three million, two hundred sixty-one thousand, fifty-seven".