153874968361 has 3 divisors (see below), whose sum is σ = 153875360631. Its totient is φ = 153874576092.

The previous prime is 153874968347. The next prime is 153874968493. The reversal of 153874968361 is 163869478351.

It is a happy number.

The square root of 153874968361 is 392269.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 163869478351 = 61 ⋅2686384891.

It can be written as a sum of positive squares in only one way, i.e., 115451127961 + 38423840400 = 339781^2 + 196020^2 .

It is not a de Polignac number, because 153874968361 - 2⁵ = 153874968329 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 153874968361.

It is not an unprimeable number, because it can be changed into a prime (153874960361) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 196135 + ... + 588403.

It is an arithmetic number, because the mean of its divisors is an integer number (51291786877).

Almost surely, 2^153874968361 is an apocalyptic number.

153874968361 is the 392269-th square number.

153874968361 is the 196135-th centered octagonal number.

It is an amenable number.

153874968361 is a deficient number, since it is larger than the sum of its proper divisors (392270).

153874968361 is an frugal number, since it uses more digits than its factorization.

153874968361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784538 (or 392269 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 61.

The spelling of 153874968361 in words is "one hundred fifty-three billion, eight hundred seventy-four million, nine hundred sixty-eight thousand, three hundred sixty-one".