1975891401 has 45 divisors (see below), whose sum is σ = 3251606743. Its totient is φ = 1194842880.

The previous prime is 1975891391. The next prime is 1975891417. The reversal of 1975891401 is 1041985791.

It is a happy number.

The square root of 1975891401 is 44451.

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

1975891401 is a `hidden beast` number, since 197 + 58 + 9 + 1 + 401 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1207493001 + 768398400 = 34749^2 + 27720^2 .

It is not a de Polignac number, because 1975891401 - 2⁵ = 1975891369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1975891201) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4400425 + ... + 4400873.

Almost surely, 2^1975891401 is an apocalyptic number.

1975891401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1975891401 is the 44451-st square number.

1975891401 is the 22226-th centered octagonal number.

It is an amenable number.

1975891401 is a deficient number, since it is larger than the sum of its proper divisors (1275715342).

1975891401 is an frugal number, since it uses more digits than its factorization.

1975891401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 932 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 45.

The cubic root of 1975891401 is about 1254.8380824211.

The spelling of 1975891401 in words is "one billion, nine hundred seventy-five million, eight hundred ninety-one thousand, four hundred one".