1653125940 has 72 divisors (see below), whose sum is σ = 5074943328. Its totient is φ = 435518400.

The previous prime is 1653125939. The next prime is 1653125941. The reversal of 1653125940 is 495213561.

1653125940 is a `hidden beast` number, since 1 + 6 + 53 + 12 + 594 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1653125939) and next prime (1653125941).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1653125895 and 1653125904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653125941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40386 + ... + 70265.

It is an arithmetic number, because the mean of its divisors is an integer number (70485324).

Almost surely, 2^1653125940 is an apocalyptic number.

1653125940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1653125940 is an abundant number, since it is smaller than the sum of its proper divisors (3421817388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1653125940 is a wasteful number, since it uses less digits than its factorization.

1653125940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110749 (or 110744 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 1653125940 is about 40658.6514778835. The cubic root of 1653125940 is about 1182.4115052214.

The spelling of 1653125940 in words is "one billion, six hundred fifty-three million, one hundred twenty-five thousand, nine hundred forty".