1014945428025 has 81 divisors (see below), whose sum is σ = 1858681960941. Its totient is φ = 529416377280.

The previous prime is 1014945428023. The next prime is 1014945428071. The reversal of 1014945428025 is 5208245494101.

The square root of 1014945428025 is 1007445.

It is a perfect power (a square), and thus also a powerful number.

1014945428025 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 9 + 4 + 542 + 80 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386121803769 + 628823624256 = 621387^2 + 792984^2 .

It is not a de Polignac number, because 1014945428025 - 2¹ = 1014945428023 is a prime.

It is a super-2 number, since 2×1014945428025² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1014945428023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 710248011 + ... + 710249439.

Almost surely, 2^{1014945428025} is an apocalyptic number.

1014945428025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1014945428025 is the 1007445-th square number.

1014945428025 is the 503723-rd centered octagonal number.

It is an amenable number.

1014945428025 is a deficient number, since it is larger than the sum of its proper divisors (843736532916).

1014945428025 is an frugal number, since it uses more digits than its factorization.

1014945428025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 1014945428025 in words is "one trillion, fourteen billion, nine hundred forty-five million, four hundred twenty-eight thousand, twenty-five".