742097825401 has 9 divisors (see below), whose sum is σ = 760675438159. Its totient is φ = 723963420400.

The previous prime is 742097825363. The next prime is 742097825411. The reversal of 742097825401 is 104528790247.

The square root of 742097825401 is 861451.

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., 35758431801 + 706339393600 = 189099^2 + 840440^2 .

It is not a de Polignac number, because 742097825401 - 2²⁷ = 741963607673 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (742097825411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35308986 + ... + 35329996.

Almost surely, 2^742097825401 is an apocalyptic number.

742097825401 is the 861451-st square number.

742097825401 is the 430726-th centered octagonal number.

It is an amenable number.

742097825401 is a deficient number, since it is larger than the sum of its proper divisors (18577612758).

742097825401 is an frugal number, since it uses more digits than its factorization.

742097825401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42104 (or 21052 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 49.

Multiplying 742097825401 by its sum of digits (49), we get a square (36362793444649 = 6030157²).

The spelling of 742097825401 in words is "seven hundred forty-two billion, ninety-seven million, eight hundred twenty-five thousand, four hundred one".