1925297777601 has 81 divisors (see below), whose sum is σ = 3227595401667. Its totient is φ = 1104934612320.

The previous prime is 1925297777549. The next prime is 1925297777659. The reversal of 1925297777601 is 1067777925291.

The square root of 1925297777601 is 1387551.

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

1925297777601 is a `hidden beast` number, since 19 + 2 + 5 + 2 + 9 + 7 + 7 + 7 + 7 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1911403026225 + 13894751376 = 1382535^2 + 117876^2 .

It is not a de Polignac number, because 1925297777601 - 2²³ = 1925289388993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1925297777401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 869993371 + ... + 869995583.

Almost surely, 2^{1925297777601} is an apocalyptic number.

1925297777601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1925297777601 is the 1387551-st square number.

1925297777601 is the 693776-th centered octagonal number.

It is an amenable number.

1925297777601 is a deficient number, since it is larger than the sum of its proper divisors (1302297624066).

1925297777601 is an equidigital number, since it uses as much as digits as its factorization.

1925297777601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4492 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 23337720, while the sum is 63.

The spelling of 1925297777601 in words is "one trillion, nine hundred twenty-five billion, two hundred ninety-seven million, seven hundred seventy-seven thousand, six hundred one".