1057148821 has 2 divisors, whose sum is σ = 1057148822. Its totient is φ = 1057148820.

The previous prime is 1057148789. The next prime is 1057148837. The reversal of 1057148821 is 1288417501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 891022500 + 166126321 = 29850^2 + 12889^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057148821 - 2⁵ = 1057148789 is a prime.

It is a super-2 number, since 2×1057148821² = 2235127259483380082, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057145821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528574410 + 528574411.

It is an arithmetic number, because the mean of its divisors is an integer number (528574411).

Almost surely, 2^1057148821 is an apocalyptic number.

It is an amenable number.

1057148821 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057148821 is an equidigital number, since it uses as much as digits as its factorization.

1057148821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17920, while the sum is 37.

The square root of 1057148821 is about 32513.8250748816. The cubic root of 1057148821 is about 1018.6978195713.

It can be divided in two parts, 1057 and 148821, that added together give a triangular number (149878 = T₅₄₇).

The spelling of 1057148821 in words is "one billion, fifty-seven million, one hundred forty-eight thousand, eight hundred twenty-one".