1628306154601 has 27 divisors (see below), whose sum is σ = 1903056945093. Its totient is φ = 1389160160640.

The previous prime is 1628306154557. The next prime is 1628306154611. The reversal of 1628306154601 is 1064516038261.

The square root of 1628306154601 is 1276051.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1369098907225 + 259207247376 = 1170085^2 + 509124^2 .

It is not a de Polignac number, because 1628306154601 - 2²⁵ = 1628272600169 is a prime.

It is a super-2 number, since 2×1628306154601² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1628306154611) 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, 3760522081 + ... + 3760522513.

It is an arithmetic number, because the mean of its divisors is an integer number (70483590559).

Almost surely, 2^{1628306154601} is an apocalyptic number.

1628306154601 is the 1276051-st square number.

1628306154601 is the 638026-th centered octagonal number.

It is an amenable number.

1628306154601 is a deficient number, since it is larger than the sum of its proper divisors (274750790492).

1628306154601 is an frugal number, since it uses more digits than its factorization.

1628306154601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 861 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The spelling of 1628306154601 in words is "one trillion, six hundred twenty-eight billion, three hundred six million, one hundred fifty-four thousand, six hundred one".