10629253 has 2 divisors, whose sum is σ = 10629254. Its totient is φ = 10629252.

The previous prime is 10629251. The next prime is 10629257. The reversal of 10629253 is 35292601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5602689 + 5026564 = 2367^2 + 2242^2 .

It is a cyclic number.

It is not a de Polignac number, because 10629253 - 2¹ = 10629251 is a prime.

It is a super-2 number, since 2×10629253² = 225962038676018, which contains 22 as substring.

Together with 10629251, it forms a pair of twin primes.

It is equal to p₇₀₃₅₉₄ and since 10629253 and 703594 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10629251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5314626 + 5314627.

It is an arithmetic number, because the mean of its divisors is an integer number (5314627).

Almost surely, 2^10629253 is an apocalyptic number.

It is an amenable number.

10629253 is a deficient number, since it is larger than the sum of its proper divisors (1).

10629253 is an equidigital number, since it uses as much as digits as its factorization.

10629253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 10629253 is about 3260.2535177498. The cubic root of 10629253 is about 219.8708125837.

The spelling of 10629253 in words is "ten million, six hundred twenty-nine thousand, two hundred fifty-three".