1020509145 has 32 divisors (see below), whose sum is σ = 1822285440. Its totient is φ = 541857600.

The previous prime is 1020509143. The next prime is 1020509177. The reversal of 1020509145 is 5419050201.

1020509145 is a `hidden beast` number, since 10 + 2 + 0 + 509 + 145 = 666.

It is not a de Polignac number, because 1020509145 - 2¹ = 1020509143 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1020509141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13995 + ... + 47295.

It is an arithmetic number, because the mean of its divisors is an integer number (56946420).

Almost surely, 2^1020509145 is an apocalyptic number.

1020509145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1020509145 is a deficient number, since it is larger than the sum of its proper divisors (801776295).

1020509145 is a wasteful number, since it uses less digits than its factorization.

1020509145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33542 (or 33536 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 1020509145 is about 31945.4088250565. The cubic root of 1020509145 is about 1006.7901708891.

Adding to 1020509145 its reverse (5419050201), we get a palindrome (6439559346).

The spelling of 1020509145 in words is "one billion, twenty million, five hundred nine thousand, one hundred forty-five".