1930002157953 has 12 divisors (see below), whose sum is σ = 2787812182740. Its totient is φ = 1286653664736.

The previous prime is 1930002157949. The next prime is 1930002157973. The reversal of 1930002157953 is 3597512000391.

1930002157953 is a `hidden beast` number, since 1 + 9 + 3 + 0 + 0 + 0 + 21 + 579 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 277252796304 + 1652749361649 = 526548^2 + 1285593^2 .

It is not a de Polignac number, because 1930002157953 - 2² = 1930002157949 is a prime.

It is a super-2 number, since 2×1930002157953² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1930002157899 and 1930002157908.

It is not an unprimeable number, because it can be changed into a prime (1930002157903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 323026 + ... + 1991067.

It is an arithmetic number, because the mean of its divisors is an integer number (232317681895).

Almost surely, 2^{1930002157953} is an apocalyptic number.

It is an amenable number.

1930002157953 is a deficient number, since it is larger than the sum of its proper divisors (857810024787).

1930002157953 is a wasteful number, since it uses less digits than its factorization.

1930002157953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2406768 (or 2406765 counting only the distinct ones).

The product of its (nonzero) digits is 255150, while the sum is 45.

The spelling of 1930002157953 in words is "one trillion, nine hundred thirty billion, two million, one hundred fifty-seven thousand, nine hundred fifty-three".