10629236583001 has 9 divisors (see below), whose sum is σ = 10765747879551. Its totient is φ = 10494434984904.

The previous prime is 10629236582947. The next prime is 10629236583071. The reversal of 10629236583001 is 10038563292601.

The square root of 10629236583001 is 3260251.

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., 86876973001 + 10542359610000 = 294749^2 + 3246900^2 .

It is not a de Polignac number, because 10629236583001 - 2¹⁷ = 10629236451929 is a prime.

It is a super-2 number, since 2×10629236583001² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10629236583071) 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, 257539195 + ... + 257580463.

It is an arithmetic number, because the mean of its divisors is an integer number (1196194208839).

Almost surely, 2^{10629236583001} is an apocalyptic number.

10629236583001 is the 3260251-st square number.

10629236583001 is the 1630126-th centered octagonal number.

It is an amenable number.

10629236583001 is a deficient number, since it is larger than the sum of its proper divisors (136511296550).

10629236583001 is an frugal number, since it uses more digits than its factorization.

10629236583001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82696 (or 41348 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 10629236583001 in words is "ten trillion, six hundred twenty-nine billion, two hundred thirty-six million, five hundred eighty-three thousand, one".