553627958401 has 8 divisors (see below), whose sum is σ = 637699696640. Its totient is φ = 470801727648.

The previous prime is 553627958399. The next prime is 553627958413. The reversal of 553627958401 is 104859726355.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 553627958401 - 2¹ = 553627958399 is a prime.

It is a super-3 number, since 3×553627958401³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (553627958491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311375916 + ... + 311377693.

It is an arithmetic number, because the mean of its divisors is an integer number (79712462080).

It is a 1-persistent number, because it is pandigital, but 2⋅553627958401 = 1107255916802 is not.

Almost surely, 2^553627958401 is an apocalyptic number.

It is an amenable number.

553627958401 is a deficient number, since it is larger than the sum of its proper divisors (84071738239).

553627958401 is a wasteful number, since it uses less digits than its factorization.

553627958401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622753743.

The product of its (nonzero) digits is 9072000, while the sum is 55.

The spelling of 553627958401 in words is "five hundred fifty-three billion, six hundred twenty-seven million, nine hundred fifty-eight thousand, four hundred one".