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1054013629 is a prime number
BaseRepresentation
bin111110110100101…
…111100010111101
32201110022102212211
4332310233202331
54124311414004
6252331100421
735055653014
oct7664574275
92643272784
101054013629
114a0a66049
12254ba1711
1313a49c406
149ddaba7b
1562800504
hex3ed2f8bd

1054013629 has 2 divisors, whose sum is σ = 1054013630. Its totient is φ = 1054013628.

The previous prime is 1054013599. The next prime is 1054013659. The reversal of 1054013629 is 9263104501.

It is a balanced prime because it is at equal distance from previous prime (1054013599) and next prime (1054013659).

It can be written as a sum of positive squares in only one way, i.e., 1048011129 + 6002500 = 32373^2 + 2450^2 .

It is a cyclic number.

It is not a de Polignac number, because 1054013629 - 215 = 1053980861 is a prime.

It is a super-2 number, since 2×10540136292 = 2221889460235499282, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1054013629.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1054013659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527006814 + 527006815.

It is an arithmetic number, because the mean of its divisors is an integer number (527006815).

Almost surely, 21054013629 is an apocalyptic number.

It is an amenable number.

1054013629 is a deficient number, since it is larger than the sum of its proper divisors (1).

1054013629 is an equidigital number, since it uses as much as digits as its factorization.

1054013629 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 1054013629 is about 32465.5760614224. The cubic root of 1054013629 is about 1017.6897698353.

The spelling of 1054013629 in words is "one billion, fifty-four million, thirteen thousand, six hundred twenty-nine".