10521757 has 2 divisors, whose sum is σ = 10521758. Its totient is φ = 10521756.

The previous prime is 10521739. The next prime is 10521761. The reversal of 10521757 is 75712501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10458756 + 63001 = 3234^2 + 251^2 .

It is an emirp because it is prime and its reverse (75712501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10521757 - 2⁷ = 10521629 is a prime.

It is a super-3 number, since 3×10521757³ (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10521767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5260878 + 5260879.

It is an arithmetic number, because the mean of its divisors is an integer number (5260879).

Almost surely, 2^10521757 is an apocalyptic number.

It is an amenable number.

10521757 is a deficient number, since it is larger than the sum of its proper divisors (1).

10521757 is an equidigital number, since it uses as much as digits as its factorization.

10521757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 10521757 is about 3243.7257898904. The cubic root of 10521757 is about 219.1270989948.

It can be divided in two parts, 1052 and 1757, that added together give a square (2809 = 53²).

The spelling of 10521757 in words is "ten million, five hundred twenty-one thousand, seven hundred fifty-seven".