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1057115413 is a prime number
BaseRepresentation
bin111111000000100…
…100110100010101
32201200011000201201
4333000210310111
54131110143123
6252521352501
735124222064
oct7700446425
92650130651
101057115413
114a2794502
12256038731
1313b0171a3
14a05781db
1562c145ad
hex3f024d15

1057115413 has 2 divisors, whose sum is σ = 1057115414. Its totient is φ = 1057115412.

The previous prime is 1057115401. The next prime is 1057115429. The reversal of 1057115413 is 3145117501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 575664049 + 481451364 = 23993^2 + 21942^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057115413 is a prime.

It is a super-2 number, since 2×10571154132 = 2234985992804321138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057116413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528557706 + 528557707.

It is an arithmetic number, because the mean of its divisors is an integer number (528557707).

Almost surely, 21057115413 is an apocalyptic number.

It is an amenable number.

1057115413 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057115413 is an equidigital number, since it uses as much as digits as its factorization.

1057115413 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 28.

The square root of 1057115413 is about 32513.3113201347. The cubic root of 1057115413 is about 1018.6870885009.

The spelling of 1057115413 in words is "one billion, fifty-seven million, one hundred fifteen thousand, four hundred thirteen".