1931541260401 has 9 divisors (see below), whose sum is σ = 1934825368203. Its totient is φ = 1928262724560.

The previous prime is 1931541260393. The next prime is 1931541260417. The reversal of 1931541260401 is 1040621451391.

The square root of 1931541260401 is 1389799.

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

It can be written as a sum of positive squares in only one way, i.e., 164024190001 + 1767517070400 = 404999^2 + 1329480^2 .

It is not a de Polignac number, because 1931541260401 - 2³ = 1931541260393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1931541269401) 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 8 ways as a sum of consecutive naturals, for example, 1569082456 + ... + 1569083686.

It is an arithmetic number, because the mean of its divisors is an integer number (214980596467).

Almost surely, 2^{1931541260401} is an apocalyptic number.

1931541260401 is the 1389799-th square number.

1931541260401 is the 694900-th centered octagonal number.

It is an amenable number.

1931541260401 is a deficient number, since it is larger than the sum of its proper divisors (3284107802).

1931541260401 is an frugal number, since it uses more digits than its factorization.

1931541260401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4720 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 1931541260401 in words is "one trillion, nine hundred thirty-one billion, five hundred forty-one million, two hundred sixty thousand, four hundred one".