381554525401 has 27 divisors (see below), whose sum is σ = 449941415679. Its totient is φ = 322617819888.

The previous prime is 381554525383. The next prime is 381554525441. The reversal of 381554525401 is 104525455183.

The square root of 381554525401 is 617701.

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., 16888302025 + 364666223376 = 129955^2 + 603876^2 .

It is not a de Polignac number, because 381554525401 - 2⁷ = 381554525273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (381554525441) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 341588095 + ... + 341589211.

It is an arithmetic number, because the mean of its divisors is an integer number (16664496877).

Almost surely, 2^381554525401 is an apocalyptic number.

381554525401 is the 617701-st square number.

381554525401 is the 308851-st centered octagonal number.

It is an amenable number.

381554525401 is a deficient number, since it is larger than the sum of its proper divisors (68386890278).

381554525401 is an frugal number, since it uses more digits than its factorization.

381554525401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2406 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 43.

The spelling of 381554525401 in words is "three hundred eighty-one billion, five hundred fifty-four million, five hundred twenty-five thousand, four hundred one".