1901930601025 has 135 divisors (see below), whose sum is σ = 2986110188379. Its totient is φ = 1201079093760.

The previous prime is 1901930600959. The next prime is 1901930601061. The reversal of 1901930601025 is 5201060391091.

It is a happy number.

The square root of 1901930601025 is 1379105.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1833362036289 + 68568564736 = 1354017^2 + 261856^2 .

It is not a de Polignac number, because 1901930601025 - 2⁹ = 1901930600513 is a prime.

It is a super-2 number, since 2×1901930601025² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 4392449209 + ... + 4392449641.

Almost surely, 2^{1901930601025} is an apocalyptic number.

1901930601025 is the 1379105-th square number.

1901930601025 is the 689553-rd centered octagonal number.

It is an amenable number.

1901930601025 is a deficient number, since it is larger than the sum of its proper divisors (1084179587354).

1901930601025 is an frugal number, since it uses more digits than its factorization.

1901930601025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 37.

The spelling of 1901930601025 in words is "one trillion, nine hundred one billion, nine hundred thirty million, six hundred one thousand, twenty-five".